101 P6.SP.TL.18012210
Level 3
Sam took 2 hours to walk from Building A to Building B which was 6 km away. On his way back from Building B to Building A, he increased his average walking speed by 1 km/h. How long did he take for his journey back?
3 m
DST triangle Average speed Journey by parts Different speed Duration More than or less than
102 P6.SP.TL.18012232
Level 3
Jake walks to school at an average speed of 4 km/h every day. One day, after walking a distance of 1 km, he realised that his watch was slow. So, he ran at a constant speed and managed to reach his school just on time. Later, he calculated that if he had run at this speed right from the start of the journey, he would have reached his school 5 minutes earlier. What was his running speed?
3 m
DST triangle Average speed Different speed Unit conversion Duration
103 P6.AG.NK.21061107
Level 3 PSLE
The perimeter of figure ABCDE is (10w + 14) cm. The perimeter of square ABCD is 20 cm.
  1. Find the perimeter of triangle ADE in terms of w.
  2. The perimeter of figure ABCDE is 44 cm. What is the value of w?
3 m
Algebra in 1 variable Algebra substitution Area perimeter Square Triangle
104 P6.SP.TL.18012233
Level 3 PSLE
Peter and Justin ran in a race around a 400 m track. Peter ran at a speed of 190 m/min and Justin at a speed that was 25 m/min slower than Peter throughout the race. How many complete rounds would Peter have finished when he had run a distance of 300 m more than Justin?
3 m
DST triangle Different speed Duration More than or less than
105 P6.SP.TL.18012234
Level 3
Ryan drove at an average speed of 70 km/h for the first 2 hours of the journey. He then increased his average speed by 15 km/h and drove for another 3 hours until he reached his town. Find his average speed for the whole journey.
3 m
DST triangle Average speed Different speed
106 P6.AG.JC.23030112
Level 3 PSLE
The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
  1. Find the length of AE in terms of w. Give your answer in the simplest form.
  2. Find the total area of the figure when w = 16.
3 m
Algebra in 1 variable Algebra substitution Length Area perimeter Rectangle Isosceles triangle
107 P6.SP.TL.18012235
Level 3
Jesse left home at 6.15 a.m. and drove towards the mountain which was 802 km away. For the first 210 km, she was travelling at 70 km/h. Then she increased her speed by 4 km/h and completed the remaining journey.
  1. How long did she take for her whole journey?
  2. At what time did she reach the mountain?
3 m
DST triangle Average speed Journey by parts Different speed Start end time
108 P6.SP.TL.18012236
Level 3
Jimmy drove at an average speed of 72 km/h for 4 hours. He then reduced his average speed by 18 km/h and continued for another 5 hours before he reached his destination. Find his average speed for the whole journey.
3 m
DST triangle Average speed Different speed Duration
109 P6.RD.TL.17042616
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure? (Take π = 227)
4 m
Fraction to units Ratio to units Area Perimeter Overlapping area Units method
110 P6.SP.TL.18012237
Level 3
Ben drove a car at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove another 30 min before he reached his destination. Find the total distance covered by Ben.
3 m
DST triangle Different speed Unit conversion Duration Fraction of a whole

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